# If find k so that A2 = kA – 2I.

Given : A2 = kA – 2I.

Matrix A is of order 2 2.

To find : k

Formula used : Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj

A2 is a matrix of order 2 x 2.

A2 = = = A2 = kA = k × = kA – 2I = = It is the given that A2 = kA – 2I = Equating like terms,

3k – 2 = 1

3k = 1 + 2 = 3

3k = 3

k = = 1

k = 1

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